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Finding the Fourth Proportional to 209,706.54, 289,386.06 and 114,213.48

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Solution

The fourth proportional to 209,706.54, 289,386.06 and 114,213.48 is: 157,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706.54 : 289,386.06 = 114,213.48 : x
  2. Step 2: Convert to fraction form
    209,706.54/289,386.06 = 114,213.48/x
  3. Step 3: Cross multiply
    209,706.54x = 289,386.06 × 114,213.48
  4. Step 4: Simplify right side
    209,706.54x = 33,051,788,976.09
  5. Step 5: Solve for x
    x = 33,051,788,976.09/209,706.54
  6. Step 6: Final answer
    x = 157,609.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.